Integer quantum Hall effect (IQHE) generalizes in 4-dimensions (4D) and higher,[1]} and the representative theoretical models that display the effect, intrinsically, have been already enumerated [2]} [see also [3]}]. Those representative models assume spatial periodicity and this simplified setting comes at the price of increased complexity in the degrees of freedom per repeating cell. For example, the simplest model in dimension \(d=2n\)  requires \(2^n\)  degrees of freedom, complex connectivity and a high level of tuning to stabilize a topological phase [2]}. One strategy for implementing such higher dimensional models is to see them as supplying labels for and specific connections between the degrees of freedom. As long as these labels and their connections are identically reproduced, the degrees of freedom can be rendered in any dimension, in particular, in our 3-dimensional physical space. Following this strategy, the 4D QHE was recently implemented with classical electric circuits [5]}. While certainly an impressive demonstration, the outcome was an extremely complex network of connected circuit components.
